Search a number
-
+
100402010031 = 3727105143801
BaseRepresentation
bin101110110000001101…
…1010001011110101111
3100121011012002120100010
41131200123101132233
53121110403310111
6114042443304303
710153025001261
oct1354033213657
9317135076303
10100402010031
11396423541a4
121756051b093
139610ba5bbb
144c065c9b31
152929698aa6
hex17606d17af

100402010031 has 16 divisors (see below), whose sum is σ = 134184098048. Its totient is φ = 66777480000.

The previous prime is 100402010029. The next prime is 100402010063. The reversal of 100402010031 is 130010204001.

It is a happy number.

It is not a de Polignac number, because 100402010031 - 21 = 100402010029 is a prime.

It is a super-2 number, since 2×1004020100312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100402009989 and 100402010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100402010011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2270331 + ... + 2314131.

It is an arithmetic number, because the mean of its divisors is an integer number (8386506128).

Almost surely, 2100402010031 is an apocalyptic number.

100402010031 is a deficient number, since it is larger than the sum of its proper divisors (33782088017).

100402010031 is a wasteful number, since it uses less digits than its factorization.

100402010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45582.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100402010031 its reverse (130010204001), we get a palindrome (230412214032).

The spelling of 100402010031 in words is "one hundred billion, four hundred two million, ten thousand, thirty-one".

Divisors: 1 3 727 1051 2181 3153 43801 131403 764077 2292231 31843327 46034851 95529981 138104553 33467336677 100402010031